Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 6 - Section 6.3 - Equations with Parentheses - Exercises: 6

Answer

y=3

Work Step by Step

Simplifying 5y + 6(y + -3) = 15 Reorder the terms: 5y + 6(-3 + y) = 15 5y + (-3 * 6 + y * 6) = 15 5y + (-18 + 6y) = 15 Reorder the terms: -18 + 5y + 6y = 15 Combine like terms: 5y + 6y = 11y -18 + 11y = 15 Solving -18 + 11y = 15 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 11y = 15 + 18 Combine like terms: -18 + 18 = 0 0 + 11y = 15 + 18 11y = 15 + 18 Combine like terms: 15 + 18 = 33 11y = 33 Divide each side by '11'. y = 3 Simplifying y = 3
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